2. Rachel, an engineering student, was asked to make a model shaped like a cylinder withnw cones attached at its two ends by using a thin aluminium sheet. The diameter of themodel is 3 cm and its length is 12 cm. If each cone has a height of 2 cm. find the volumeaf air contained in the model that Rachel made. Assume the outer and inner dimensionsof the model to be nearly the same.)

2. Rachel, an engineering student, was asked to make a model shaped li

1.	2. Rachel, an engineering student, was asked to make a model shaped like a cylinder withnw cones attached at its two ends by using a thin aluminium sheet. The diameter of themodel is 3 cm and its length is 12 cm. If each cone has a height of 2 cm. find the volumeaf air contained in the model that Rachel made. Assume the outer and inner dimensionsof the model to be nearly the same.)
Answer» Given,diameter=3cmradius=3/2 cmheight of the model=height of the two cones+ height of the cylinder12=2×2+h12-4=hh=8cmvolume=πr²h+2(1/3 πr²h)=22/7 ×3/2 ×3/2 ×8 +2(1/3 (22/7×3/2×3/2×2))=22×3×3×8/2×2×7 +2(1/3 (22×3×3×2/2×2×7))=56.57+2(1/3 × 14.14)=56.57+2(14.14/3)=56.57+2(4.71)=56.57+9.42=65.99m³air occupied=65.99m³